{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T01:09:32Z","timestamp":1760144972010,"version":"build-2065373602"},"reference-count":27,"publisher":"MDPI AG","issue":"6","license":[{"start":{"date-parts":[[2024,6,7]],"date-time":"2024-06-07T00:00:00Z","timestamp":1717718400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>In this paper, we present a new class of linear fractional differential operators that are based on classical Gaussian hypergeometric functions. Then, we utilize the new operators and the concept of differential subordination to construct a convex set of analytic functions. Moreover, through an examination of a certain operator, we establish several notable results related to differential subordination. In addition, we derive inclusion relation results by employing Briot\u2013Bouquet differential subordinations. We also introduce a perspective study for developing subordination results using Gaussian hypergeometric functions and provide certain properties for further research in complex dynamical systems.<\/jats:p>","DOI":"10.3390\/sym16060711","type":"journal-article","created":{"date-parts":[[2024,6,7]],"date-time":"2024-06-07T08:05:17Z","timestamp":1717747517000},"page":"711","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Results for Analytic Function Associated with Briot\u2013Bouquet Differential Subordinations and Linear Fractional Integral Operators"],"prefix":"10.3390","volume":"16","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-7100-1199","authenticated-orcid":false,"given":"Ebrahim","family":"Amini","sequence":"first","affiliation":[{"name":"Department of Mathematics, Payme Noor University, Tehran P.O. Box 19395-4697, Iran"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0009-0007-3742-6178","authenticated-orcid":false,"given":"Wael","family":"Salameh","sequence":"additional","affiliation":[{"name":"Faculty of Information Technology, Abu Dhabi University, Abu Dhabi 59911, United Arab Emirates"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8955-5552","authenticated-orcid":false,"given":"Shrideh","family":"Al-Omari","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Faculty of Science, Al-Balqa Applied University, Salt 11134, Jordan"},{"name":"Jadara University Research Center, Jadara University, Irbid 21110, Jordan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9668-9986","authenticated-orcid":false,"given":"Hamzeh","family":"Zureigat","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Faculty of Science and Technology, Jadara University, Irbid 21110, Jordan"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2024,6,7]]},"reference":[{"key":"ref_1","unstructured":"S\u01cel\u01cegean, G.S. 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